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AUTOMATICA
2008
93views more  AUTOMATICA 2008»
13 years 7 months ago
Further results on input-to-state stability for nonlinear systems with delayed feedbacks
We consider a class of nonlinear control systems for which stabilizing feedbacks and corresponding Lyapunov functions for the closed loop systems are available. In the presence of...
Frédéric Mazenc, Michael Malisoff, Z...
CDC
2009
IEEE
139views Control Systems» more  CDC 2009»
14 years 5 days ago
Input-to-state dynamical stability of interconnected systems
Abstract— We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov for...
Sergey Dashkovskiy, Lars Naujok
SIAMCO
2000
75views more  SIAMCO 2000»
13 years 7 months ago
Feedback Stabilization and Lyapunov Functions
Given a locally defined, nondifferentiable but Lipschitz Lyapunov function, we construct a (discontinuous) feedback law which stabilizes the underlying system to any given toleran...
F. H. Clarke, Yu. S. Ledyaev, L. Rifford, R. J. St...
SIAMCO
2008
127views more  SIAMCO 2008»
13 years 7 months ago
Control Lyapunov Functions and Zubov's Method
For finite dimensional nonlinear control systems we study the relation between asymptotic null-controllability and control Lyapunov functions. It is shown that control Lyapunov fun...
Fabio Camilli, Lars Grüne, Fabian Wirth
AUTOMATICA
2008
96views more  AUTOMATICA 2008»
13 years 7 months ago
Nonlinear gliding stability and control for vehicles with hydrodynamic forcing
This paper presents Lyapunov functions for proving stability of steady gliding motions for vehicles with hydrodynamic or aerodynamic forces and moments. Because of lifting forces ...
Pradeep Bhatta, Naomi Ehrich Leonard